1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Natali5045456 [20]
2 years ago
7

How do you find a missing side of a triangle using SOH CAH TOA

Mathematics
1 answer:
katrin2010 [14]2 years ago
3 0

Answer:

See explanation and attachment

Step-by-step explanation:

SOH CAH TOA is a mnemonic.

SOH means \sin \theta=\frac{Opposite}{Hypotenuse}

CAH means \cos \theta =\frac{Opposite}{Hypotenuse}

TOA means \tan \theta=\frac{Opposite}{Adjacent}

Given an angle and a side of a right angle triangle, you can use the appropriate ratio to find the missing side.

For instance, find x in the diagram in the attachment.

In this case the best ratio to use is TOA.

\tan 60\degree=\frac{\sqrt{3} }{x}

\implies x=\frac{\sqrt{3} }{\tan 60}

x=\frac{\sqrt{3} }{\sqrt{3} } =1

All the other ratio also follow the same pattern

NB: Your calculator in degree should give  \tan 60\degree=\sqrt{3}

You might be interested in
X+y+z=1
andrezito [222]

Answer: x = 0

y = 2

z = -1

Step-by-step explanation:

The system of equations are

x+y+z=1 - - - - - - - - - - 1

-2x+4y+6z=2 - - - - - - - - - 2

-x+3y-5z=11 - - - - - - - - - 3

Step 1

We would eliminate x by adding equation 1 to equation 3. It becomes

4y -4z = 12 - - - - - - - - - 4

Step 2

We would multiply equation 1 by 2. It becomes

2x + 2y + 2z = 2 - - - - - - - - - 5

We would add equation 2 and equation 5. It becomes

6y + 8z = 4 - - - - - - - - - 6

Step 3

We would multiply equation 4 by 6 and equation 6 by 4. It becomes

24y - 24z = 72 - - - - - - - - 7

24y + 32z = 16 - - - - - - - - 8

We would subtract equation 8 from equation 7. It becomes

-56z = 56

z = -56/56 = -1

Substituting z = -1 into 7, it becomes

24y - 24×-1 = 72

24y + 24 = 72

24y = 72 - 24 = 48

y = 48/24 = 2

Substituting y = 2 and z = -1 into equation 1, it becomes

x + 2 - 1 = 1

x = 1 - 1 = 0

4 0
3 years ago
What is the value of X
Sindrei [870]
The answer is:  [C]:  " 3 " .
____________________________________
Explanation:
__________________________________
         4x - 1 = 2x + 5 ;  Solve for "x" ; 
__________________________________
 Subtract "2x" from each side of the equation; and add "1" to each side of the equation:
___________________________________________________
       4x - 1 - 2x + 1 = 2x + 5 - 2x + 1 ;
___________________________________________________
          2x = 6 ;
_________________________________
Divide EACH side of the equation by "2" ; to isolate "x" on ONE side of the equation;  and to solve for "x" ;
_________________________________
          2x / 2  =  6 / 2 ;
_________________________________
               x  =  3 .
_________________________________
The answer is:  [C]:  " 3 " .
_________________________________
4 0
3 years ago
1. Classify each statement as true or false for all real numbers a, b,<br> and c.
12345 [234]

naw

g4jtnbjtrnjbnrtibnrijnbngtrjnb jtkgnbrbgbn

6 0
2 years ago
What is the answer to this
Sever21 [200]
I think it’s d I’m not sure though
8 0
2 years ago
HI GUYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYS
Viefleur [7K]

Answer:

Step-by-step explanation:

HEY

6 0
2 years ago
Other questions:
  • Members of the drama club sold T shirts for their upcoming musical. Of the 80 T shirts sold, 55 % were size medium. How many of
    6·1 answer
  • What is 1/4 equal to?
    11·2 answers
  • What is the value of x?
    13·1 answer
  • Find the length of the segment with endpoints of (3,2) and (-3,-6).
    5·1 answer
  • PQR is reflected over the x-axis. What are the coordinates of Q’?
    5·2 answers
  • Solve the equation. Then check your solution.
    8·2 answers
  • Please help me the first one to answer will be marked as a brilliantest
    11·1 answer
  • Please help meeeeeeeeeee
    14·1 answer
  • What does it mean to say there is an association between characteristics in a two-way frequency table?
    9·1 answer
  • What is the product of 8.2 x 10^2 and 3.4 x 10^5
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!